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Although the code in the question is not complete, there are sufficient bad practices in the snippet that I wanted to post an answer. Repeated computation in a loop When you do a computation or an ind …

Looking at your code again, there are a few things that you could try: 1. Avoid trigonometric functions These seem to be the most expensive part of your code. You compute a single uniformly distribu …

To speed up code you have to start with two things: Pay attention to the warnings that the MATLAB Editor gives you: Four lines have red squiggles underneath, hovering over them says "Variable appears …

A named function is declared like this: function out = function_name(in) If it is written in a file of the same name, and the file is on the MATLAB path, then it is accessible from the base workspa …

Appending to an array INDX46=[INDX46; i;]; is a very slow way of appending to a vector. Instead, do INDX46(end+1) = i;. When appending to the matrix in this preferred way, MATLAB actually extends th …

Just a few tips and tricks to add to David's excellent answer. data = zeros(N,3); for labelVal = 1:N redIdx = idx{labelVal}; greenIdx = idx{labelVal}+numRows*numCols; blueIdx = idx{la …

There is really nothing wrong with using a loop in MATLAB. For decades, they have been teaching us to vectorize our code. But in recent years the differences between vectorized code and the equivalent …

There is a sub-field in image processing called Mathematical Morphology. The operation you are implementing is a core concept in this field, called dilation. Obviously, this operation has been studied …

In regards to performance, I don't immediately see any huge gains to be had. It might be possible to vectorize some operations, but the opportunities are not immediate obvious. …

Assuming that the lists always contain small integers, it is possible to sort in O(n) rather than O(n log n). This is called “histogram sort”. In short, you count how many of each integer is in the ar …

I don’t agree with the answer by G. Sliepen. You created a multidimensional array specifically to work with numbers. T is a standard numeric type that doesn’t have a constructor or destructor. It is p …

Though MATLAB allows to expand the size of a matrix by assigning to elements outside its bounds, it is always best to preallocate the array to its final size. The for m=1:k loop has a lot of repeated …

The core algorithm is this: integers = range(1, nmax+1) pairs = list(product(integers, repeat=2)) pairs = [(a, b) for (a, b) in pairs if a >= b] dict_hex, dict_square = get_dicts(pairs) # loops over …

Don't use std::endl Just output \n for a newline. See here. std::size_t The C++ standard defines std::size_t, not size_t. const placing I personally prefer type const& over const type&. Types are read …

I would suggest you use NumPy for anything that manipulates collections of numbers of the same type. A NumPy array is a more efficient container than a list in this case, an the package contain a larg …